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53466912 = 2533193257
BaseRepresentation
bin1100101111110…
…1011100100000
310201121101211000
43023331130200
5102141420122
65145552000
71216314132
oct313753440
9121541730
1053466912
11281a9534
1215aa5600
13b100435
14715b052
154a620ac
hex32fd720

53466912 has 96 divisors (see below), whose sum is σ = 164203200. Its totient is φ = 16879104.

The previous prime is 53466901. The next prime is 53466913. The reversal of 53466912 is 21966435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53466913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14788 + ... + 18044.

It is an arithmetic number, because the mean of its divisors is an integer number (1710450).

Almost surely, 253466912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53466912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101600).

53466912 is an abundant number, since it is smaller than the sum of its proper divisors (110736288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53466912 is a wasteful number, since it uses less digits than its factorization.

53466912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3281 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 53466912 is about 7312.1072202204. The cubic root of 53466912 is about 376.7284054002.

The spelling of 53466912 in words is "fifty-three million, four hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 3257 4104 5472 6514 8208 9771 13028 16416 19542 26056 29313 39084 52112 58626 61883 78168 87939 104224 117252 123766 156336 175878 185649 234504 247532 312672 351756 371298 469008 495064 556947 703512 742596 938016 990128 1113894 1407024 1485192 1670841 1980256 2227788 2814048 2970384 3341682 4455576 5940768 6683364 8911152 13366728 17822304 26733456 53466912